Abstract: The minisymposium intends to bring together leading experts working on inverse scattering problems and their applications to discuss recent advances and new
challenges in this fascinating field.

MS-Mo-E-39-116:00--16:30 Inverse Scattering for Rough Surfaces with Tapered Wave IncidenceLei, Zhang (Heilongjiang Univ.; Zhejiang Univ.)Abstract: The study of Inverse scattering for rough surfaces has been the subject of intensive investigation for its application in a number of important research fields, such as remote sensing, target recgnition, surface optics, as well as semiconductor physics. Here we consider the Inverse scattering for rough surfaces with tapered wave Incidence, some theorical and numerical results are given.

MS-Mo-E-39-216:30--17:00C0IPG error analysis for transmission eigenvalue problemJi, Xia (chinese Acad. of Sci.)Abstract: We consider a non self-adjoint fourth eigenvlaue problem and use the Discontinuous Galerkin (DG) methods to compute it. For the fourth order problem, DG methods are competitive since they have less degrees of freedom and simper than the other classical finite element methods. We propose an interior penalty discontinuous Galerkin method using C0 Lagrange elements (C0IPG) and study its theoretical error estimate. Moreover, the optimal convergence is obtained.

MS-Mo-E-39-317:00--17:30Inverse scattering from extended sourcesRundell, William (Texas A&M Univ.)Abstract: We look at classical inverse acoustic scattering based on the nonhomogeneous Helmholtz equation
where one seeks to recover the location and shape of an extended source $f$ from measurements of
far (or near) field data. We will look at two very different algorithms, one using only a single frequency
incident field, the other where we have multifrequency information.

MS-Mo-E-39-417:30--18:00A recursive algorithm for multi-frequency acoustic inverse source problemsLu, Shuai (School of Mathematical Sci., Fudan Univ.)Bao, Gang (Zhejiang Univ.)Rundell, William (Texas A&M Univ.)Abstract: An iterative/recursive algorithm is studied for recovering unknown sources of acoustic field with multi-frequency measurement data. Under additional regularity assumptions on source functions, the first convergence result towards multi-frequency inverse source problems is obtained by assuming the background medium is homogeneous and the measurement data is noise-free. Error estimates are also provided when the observation data is contaminated by noise. Numerical examples verify the reliability and efficiency of our proposed algorithm.